Inverse Trigonometric Visualizer

Visualize inverse trigonometric functions (arcsin, arccos, arctan) with interactive graphs and domain/range exploration.

Domain varies by function: arcsin/arccos [-1,1], arctan (-∞,∞)
Range varies by function: arcsin [-π/2,π/2], arccos [0,π], arctan (-π/2,π/2)
Functions

How To Use

Visualize and explore inverse trigonometric functions with interactive controls

1

Choose Functions

Select which inverse trigonometric functions to display (arcsin, arccos, arctan)

2

Adjust Range

Set the X-axis range and number of sample points for visualization

3

Choose Units

Select radians or degrees for the output values

4

Explore Results

View the interactive graph and analyze domain/range properties

This visualizer helps you study inverse trigonometric functions—arcsin(x), arccos(x), and arctan(x)—by giving you direct control over domain, sampling, and units. With immediate feedback, you can observe how each function's range and continuity differ and how they relate back to the familiar sine, cosine, and tangent.

Set the x-range and samples to balance performance and detail. Remember that arcsin and arccos are only defined within [-1, 1], while arctan is defined for all real numbers. Switching between radians and degrees updates the axes and tooltip readouts to match your preferred unit system.

Use this for coursework, tutoring, or quick intuition checks. Explore symmetry, monotonicity, and limiting behavior (e.g., arctan's horizontal asymptotes). Combine function toggles and units to reinforce conceptual understanding and prepare high-quality visual explanations.

Concepts Covered:

  • Domains and ranges of inverse trig functions
  • Radians vs degrees and unit conversion
  • Sampling density and visualization smoothness
  • Asymptotic behavior and continuity
  • Comparative analysis of arcsin, arccos, and arctan

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